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Finding the Fourth Proportional to 4,787.91, 7,180.68 and 1,667.46

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Solution

The fourth proportional to 4,787.91, 7,180.68 and 1,667.46 is: 2,500.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,787.91 : 7,180.68 = 1,667.46 : x
  2. Step 2: Convert to fraction form
    4,787.91/7,180.68 = 1,667.46/x
  3. Step 3: Cross multiply
    4,787.91x = 7,180.68 × 1,667.46
  4. Step 4: Simplify right side
    4,787.91x = 11,973,496.67
  5. Step 5: Solve for x
    x = 11,973,496.67/4,787.91
  6. Step 6: Final answer
    x = 2,500.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.